11. A car hiring company has 12 Tata sumos and 8Qualis. If 5 of these cars go to workshop for repairsand Tata Sumo is as likely to be in for repair as aQualis, what is the probability that (i) 3 of them aresumos and 2 are Qualis; (ii) at least three of themare sumos and (iii) all of them are of same make.

Answered: Image /qna-images/answer/ef799783-3a91-4339-a3ff-f0c585ba76cc.jpg

Answered: . A car hiring company has 12 Tata…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A shipment of 10 microwave ovens contains two defective units. In how many ways can a restaurant buy three of these units and receive (a) no defective units, (b) one defective unit, and (c) at least two non defective units? (d) What is the probability of the restaurant buying at least two defective units ?
A company makes pens called “Surprise Ink.” All of these pens look identical on the outside, but they contain ink that is one of the following colors: blue, red, green, or purple. A teacher has 16 of these pens: 2 purple, 6 blue, 5 red, and 3 green. The teacher is headed to a coffee shop to grade midterms, so he randomly grabs 4 of his “Surprise Ink” pens. a) What is the probability that he grabbed one pen of each color?Write a percent rounded to 1 decimal place. b) What is the probability that exactly 2 of the pens he grabbed are red?Write a percent rounded to 1 decimal place. c) What is the probability that at least 1 of the pens he grabbed are red?Write a percent rounded to 1 decimal place.
1. In the online multiplayer social deduction game Among Us, you are either a Crewmate or an Impostor. One role of Crewmates is to identify and eliminate the Impostor/s. Suppose there are ten (10) of you who play the game, 3 of which are Impostors and you are identified as Crewmate. If each Impostor has killed a Crewmate, determine the probability that you will identify correctly one of the Impostor?
A bag of peanuts in their shells contains 182 peanuts. 78 of the shells contain one peanut, 98 of the shells contain two peanuts, and the rest contain three peanuts. Of the shells with one peanut, 19 of them are cracked. Of the shells with two peanuts, 26 of them are cracked. None of the shells with three peanuts are cracked. One peanut shell is randomly selected from the bag. What is the probability the shell is cracked? What is the probability the shell is not cracked and it contains two peanuts? What is the probability the shell is not cracked or it contains two peanuts? What is the probability the shell is not cracked given that it contains two peanuts?
A committee of 4 people is to be appointed from 3 officers of the production department, 4 officers of the sales department, 2 officers of the sales department, and 1 chartered accountant. Find the probability of forming the committee in the following manner: (i) There must be one from each category. (ii) It should have at least one from the purchase department. (iii) The chartered accountant must be on the committee.
Kevin is playing basketball with joy. Based on existing experience, kevin generally managed to make 8 free throws out of 10 throws. Unlike Kevin, generally joy only managed to make 3 free throws out of 10 throws. That afternoon, the two of them competed with each other for free throws. If it is assumed that both Kevin and Joy are free throws and have an equal chance of entering the ring, a. What is the probability that out of 5 free throws made by Joy, only two make it into the ring? b. What is the probability that Kevin's third throw is a free sheet that goes into the ring? c. What is the probability that Joy's sixth throw is the second free throw that makes it into the ring?
A questionnaire is sent to 7 first year students, 3 second year students, 8 third year students and 6 fourth year students. If only three questionnaires are returned, what is the probability that at least two of them are returned by students from the same year? You may assume that each student is equally likely to return the questionnaire.
The large bag of chocolates contains: 38 milk chocolates (MC), 31 Mr. Goodbars (G), 33, Krackels (K), and 33 Special Darks (S). We are going to randomly select one candy and put it back (replace it); then, we are going to select a second candy. What is the probability that the first chocolate is a Krackel and the second is a Special Dark?
The large bag of chocolates contains: 38 milk chocolates (MC), 31 Mr. Goodbars (G), 33, Krackels (K), and 33 Special Darks (S). We are going to randomly select one eat it (not replace it); then, we are going to select a second candy. What is the probability that the first chocolate is a Krackel and the second is a Special Dark?
There are 40 machines in a factory for a specific purpose. 30 of them belong to the brand A and 10 of them to the brand B. If 5 machines are reported to be out of order on a given day, what is the probability that 4 of them will belong to the brand A?
Suppose a car rental agency has a fleet of 50 cars, of which 25 are compact cars and 25 are SUVs. If 60% of the compact cars and 80% of the SUVs are currently rented out, what is the probability that a randomly selected rented car from the agency is a compact car? If a rented car is selected at random, what is the probability that it is an SUV?
Suppose that a factory has two machines, Machine A and Machine B, both producing jPhone touch screens. Forty percent of their touch screens come from Machine A and 60% of their touch screens come from Machine B. Ten percent of the touch screens produced by Machine A are defective and five percent of the touch screens from Machine B are defective. If I randomly choose a touch screen from those produced by both machines and find that it is defective, what is the probability that it came from machine A?

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